Given information:
- A and B completed a piece of work together in 24 days.
- A received 50% more money than B if the money was distributed according to their work.

Let's assume:
- The total work to be done is represented by 'W'.
- A's efficiency (work done per day) is represented by 'A'.
- B's efficiency (work done per day) is represented by 'B'.
- A's share of work is represented by 'x' (in percentage).
- B's share of work is represented by 'y' (in percentage).

Calculating the work done:
- A and B worked together for 24 days, so the work done by A and B together is 24(A + B) = W.
- As A's efficiency is 'A', A would have done 24A work in 24 days.
- As B's efficiency is 'B', B would have done 24B work in 24 days.

Calculating the ratio of work:
- According to the given condition, A would have received 50% more money than B if the money was distributed according to their work.
- Let the amount of money received by B be 'M'.
- Then the amount of money received by A would be 'M + 50% of M'.
- The ratio of A's share of work to B's share of work can be calculated as follows:
- (24A) / (24B) = (M + 50% of M) / M
- Simplifying the equation, we get:
- A / B = (1 + 0.5) / 1
- A / B = 1.5

Calculating the time taken by B alone:
- Since the ratio of A's share of work to B's share of work is 1.5, we can say that A does 1.5 times the work done by B in the same amount of time.
- Therefore, the ratio of the time taken by A to the time taken by B is 1:1.5.
- Let the time taken by B alone be 't'.
- Then the time taken by A alone would be 1.5t.
- From the given information, we know that A and B together completed the work in 24 days.
- So, (work done by A in one day) + (work done by B in one day) = (total work done in 24 days)
- A + B = W / 24
- Substituting the values of A and B in terms of 't', we get:
- 1.5t + t = W / 24
- 2.5t = W / 24
- t = (W / 24) / 2.5
- t = W / 60

Therefore, B alone could complete the same work in 60 days.